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Construction of Dirac points using triangular supercrystals

Aram, M. H ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1007/s00339-013-8023-6
  3. Abstract:
  4. We show a methodology for how to construct Dirac points that occur at the corners of Brillouin zone as the Photonic counterparts of graphene. We use a triangular lattice with circular holes on a silicon substrate to create a Coupled Photonic Crystal Resonator Array (CPCRA) which its cavity resonators play the role of carbon atoms in graphene. At first we draw the band structure of our CPCRA using the tight-binding method. For this purpose we first designed a cavity which its resonant frequency is approximately at the middle of the first H-polarization band gap of the basis triangular lattice. Then we obtained dipole modes and magnetic field distribution of this cavity using the Finite Element Method (FEM). Finally we drew the two bands that construct the Dirac points together with the frequency contour plots for both bands and compared with the Plane Wave Expansion (PWE) and FEM results to prove the existence of Dirac point in the H-polarization band structure of lattices with air holes
  5. Keywords:
  6. Band structure ; Graphene ; Natural frequencies ; Polarization ; Brillouin zones ; Carbon atoms ; Circular holes ; Magnetic field distribution ; Plane-wave expansions ; Silicon substrates ; Tight binding methods ; Triangular lattice ; Photonic band gap
  7. Source: Applied Physics A: Materials Science and Processing ; Volume 115, Issue 2 , May , 2014 , Pages 581-587 ; ISSN: 09478396
  8. URL: http://link.springer.com/article/10.1007%2Fs00339-013-8023-6